364364352 has 224 divisors, whose sum is σ = 1210665600. Its totient is φ = 106444800.

The previous prime is 364364339. The next prime is 364364393. The reversal of 364364352 is 253463463.

364364352 is a `hidden beast` number, since 3 + 6 + 4 + 3 + 643 + 5 + 2 = 666.

It is a super-2 number, since 2×364364352² = 265522762016759808, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 550902 + ... + 551562.

Almost surely, 2^364364352 is an apocalyptic number.

364364352 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 364364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (605332800).

364364352 is an abundant number, since it is smaller than the sum of its proper divisors (846301248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

364364352 is a wasteful number, since it uses less digits than its factorization.

364364352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 722 (or 706 counting only the distinct ones).

The product of its digits is 155520, while the sum is 36.

The square root of 364364352 is about 19088.3302569921. The cubic root of 364364352 is about 714.2418501368.

The spelling of 364364352 in words is "three hundred sixty-four million, three hundred sixty-four thousand, three hundred fifty-two".